We demonstrate that the τ (j)-matrices in the superintegrable chiral Potts model possess the Onsager algebra symmetry for their degenerate eigenvalues. The Fabricius-McCoy comparison of functional relations of the eight-vertex model for roots of unity and the superintegrable chiral Potts model has been carefully analyzed by identifying equivalent terms in the corresponding equations, by which w...

Mefloquine, as a racemic mixture, is used for the treatment and prophylaxis of malaria. Stereoselective pharmacodynamic and pharmacokinetic differences has been observed for mefloquine. In this study a modified stereoselective HPLC method is presented for determination of mefloquine (MFQ) enantiomers in whole blood. The assay involved liquid-liquid extraction of MFQ from biological fluids with ...

We calculate a general spectral correlation function of products and ratios of characteristic polynomials for a N × N random matrix taken from the chiral Gaussian Unitary Ensemble (chGUE). Our derivation is based upon finding a Itzykson-Zuber type integral for matrices from the non-compact manifold Gl(n, C)/U(1)× ... × U(1) (matrix Macdonald function). The correlation function is shown to be al...

We report on progress towards an attempt to understand the representations of infinite dimensional groups that arise from quantum field theories on Riemann surfaces. We consider some examples that arise from the correspondence between chiral Potts integrable models and monopoles established by Atiyah and Murray and explore the Fermi-Bose correspondence on a general Riemann surface. Mathematics ...

We discuss some algebraic setting of chiral SU (N) K models in terms of the satistical dimensions of their fields. In particular, the conformal dimensions and the central charge of the chiral SU (N) K models are calculated from their braid matrices. Furthermore, at level K = 2, we present the characteristic polynomials of their fusion matrices in a factored form.

We establish the Bethe equation of the τ -model in the N -state chiral Potts model (including the degenerate selfdual cases) with alternating vertical rapidities. The eigenvalues of a finite-size transfer matrix of the chiral Potts model are computed by use of functional relations. The significance of the ”alternating superintegrable” case of the chiral Potts model is discussed, and the degener...

Background: Phenylalanine dehydrogenase (PheDH EC 1.4.1.20) is a NAD+-dependent enzyme that performs the reversible oxidative deamination of L-phenylalanine to phenylpyruvate. It plays an important role in detection and screening of phenylketonuria (PKU) diseases and production of chiral intermediates as well. The main goal of this study was to find a simple and rapid alternative method for pur...